On compact complex surfaces with finite homotopy rank-sum
On compact complex surfaces with finite homotopy rank-sum
A topological space (not necessarily simply connected) is said to have <italic>finite homotopy rank-sum</italic> if the sum of the ranks of all higher homotopy groups (from the second homotopy group onward) is finite. In this article, we characterize the smooth compact complex Kähler surfaces having finite homotopy rank-sum. We also …